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Finding the Fourth Proportional to 470,707.04, 706,106.76 and 133,763.24

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Solution

The fourth proportional to 470,707.04, 706,106.76 and 133,763.24 is: 200,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,707.04 : 706,106.76 = 133,763.24 : x
  2. Step 2: Convert to fraction form
    470,707.04/706,106.76 = 133,763.24/x
  3. Step 3: Cross multiply
    470,707.04x = 706,106.76 × 133,763.24
  4. Step 4: Simplify right side
    470,707.04x = 94,451,128,003.50
  5. Step 5: Solve for x
    x = 94,451,128,003.50/470,707.04
  6. Step 6: Final answer
    x = 200,657.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.